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Finding the Third Proportional to 199,601.72 and 432,426.09

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Solution

The third proportional to 199,601.72 and 432,426.09 is: 936,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,601.72 : 432,426.09 = 432,426.09 : x
  2. Step 2: Convert to fraction form
    199,601.72/432,426.09 = 432,426.09/x
  3. Step 3: Cross multiply
    199,601.72x = 432,426.09 × 432,426.09
  4. Step 4: Simplify right side
    199,601.72x = 186,992,326,555.88
  5. Step 5: Solve for x
    x = 186,992,326,555.88/199,601.72
  6. Step 6: Final answer
    x = 936,827.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.